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Finding the Fourth Proportional to 2,894.84, 3,994.82 and 1,775.82

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Solution

The fourth proportional to 2,894.84, 3,994.82 and 1,775.82 is: 2,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.84 : 3,994.82 = 1,775.82 : x
  2. Step 2: Convert to fraction form
    2,894.84/3,994.82 = 1,775.82/x
  3. Step 3: Cross multiply
    2,894.84x = 3,994.82 × 1,775.82
  4. Step 4: Simplify right side
    2,894.84x = 7,094,094.01
  5. Step 5: Solve for x
    x = 7,094,094.01/2,894.84
  6. Step 6: Final answer
    x = 2,450.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.